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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004859561948 2,270 digits created 2023-10-24

Value

26862518388522112072152990374449685522308424418251179160929287372466562808823183831954227192113842669785530721449483329938153756346453261179280389228171282452895259257365479711634709437404866238380423255105020487843830387343989121825287619598916179297502175751177200066260322411051719092226893894948570245491460330821647129096382518328434905088458193258985588003821689953666179285248766970936554179594928925033700310964620595941499752824989715767074034923468775872452561947708425298533904572814932760924401992767452104151159074947244078196855654363441843970598828677951684691795327252784181250883248746357479571876573159011561474965978782888606428824732395484511802855221420708266361449219998792361943910327706509585519421266003051812811685386407042223916280265649703298610131812017584106048002879157038009416180916999967522151535818365828262762301925516225229327792984618531164388700762553114343963472523577231648660032273640473776648053600453409872070818176766280583466321969505518763957519062272643065414884271705132243151989865341780408146918613712672473430798847934904760497368627994505604993843863917903858884163758113729419044775494869012677726157257692765682485550696434884516695247531685109488833570650667178039021354125858104976192384373289604037818533261641647651077221608434132983899379014908643090762660682676224790164940959528438023848036029612000407202164238477924496369314313055512552700047355647204845831444228750669101706544406436232346656178230414906390089387224244883514945849616545062645196903261339637916593386491145802660817167567012066550464960945970315159429967159483705939108214246904746279336614147907580453132925700028058330515339995169702115510959910088698259470409083967333514560813395591402724900303380677384572821987635243310174522926793590761616159800367153275685471451019685835341526222053855537946475018903974306781002000117051782130103360946141520720243243986103517475535871208765459797492638861433230997625022425542142135274234988722699060404058030124451343649879428804627536352233919013692019724469927127068984312116255997009069232399647785011598773694650383391713540512688624240773152434812418720708604566828335679537254823825534408959802184800194064495101014931593585208581525690507929092109968919924654184547992285734436418059653
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,939-digit prime (311 intermediate primes).

Certified number2,939-digit prime
Certificatedownload
Certificate chainshow step 67 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004859561948 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004859561948},"decimal":true,"detail":2}}'